{"id":13822,"date":"2018-06-14T23:51:37","date_gmt":"2018-06-14T23:51:37","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/chapter\/introduction-to-right-triangle-trigonometry\/"},"modified":"2018-06-14T23:51:37","modified_gmt":"2018-06-14T23:51:37","slug":"introduction-to-right-triangle-trigonometry","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/introduction-to-right-triangle-trigonometry\/","title":{"raw":"Introduction to Right Triangle Trigonometry","rendered":"Introduction to Right Triangle Trigonometry"},"content":{"raw":"\n<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Objectives<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Use right triangles to evaluate trigonometric functions.<\/li>\n<li>Find function values for [latex]30^\\circ \\left(\\frac{\\pi }{6}\\right)[\/latex], [latex]45^\\circ \\left(\\frac{\\pi }{4}\\right)[\/latex], and [latex]60^\\circ \\left(\\frac{\\pi }{3}\\right)[\/latex].<\/li>\n<li>Use cofunctions of complementary angles.<\/li>\n<li>Use the de\ufb01nitions of trigonometric functions of any angle.<\/li>\n<li>Use right triangle trigonometry to solve applied problems.<\/li>\n<\/ul>\n<\/div>\n<p>We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle:<\/p>\n<p>[latex]\\begin{array}{c}\\cos \\text{ }t=x\\\\ \\sin \\text{ }t=y\\end{array}[\/latex]\nIn this section, we will see another way to define trigonometric functions using properties of <strong>right triangles<\/strong>.\n\n","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Objectives<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Use right triangles to evaluate trigonometric functions.<\/li>\n<li>Find function values for [latex]30^\\circ \\left(\\frac{\\pi }{6}\\right)[\/latex], [latex]45^\\circ \\left(\\frac{\\pi }{4}\\right)[\/latex], and [latex]60^\\circ \\left(\\frac{\\pi }{3}\\right)[\/latex].<\/li>\n<li>Use cofunctions of complementary angles.<\/li>\n<li>Use the de\ufb01nitions of trigonometric functions of any angle.<\/li>\n<li>Use right triangle trigonometry to solve applied problems.<\/li>\n<\/ul>\n<\/div>\n<p>We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle:<\/p>\n<p>[latex]\\begin{array}{c}\\cos \\text{ }t=x\\\\ \\sin \\text{ }t=y\\end{array}[\/latex]<br \/>\nIn this section, we will see another way to define trigonometric functions using properties of <strong>right triangles<\/strong>.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-13822\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Precalculus. <strong>Authored by<\/strong>: OpenStax College. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1\/Preface\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1\/Preface<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":23485,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Precalculus\",\"author\":\"OpenStax 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